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In a change-driven methodology, the correct choice is a prioritized product backlog. This type of backlog is essential as it serves to manage and organize the requirements of a project dynamically. As new insights are gained and changes are necessary, the prioritized product backlog allows for the inclusion of new and modified requirements while maintaining an ordered list based on business value and urgency.

The prioritized product backlog is inherently flexible, enabling teams to quickly adapt to stakeholder feedback and evolving project needs. This ensures that the most critical requirements are addressed first, allowing for a responsive approach to development that can accommodate changes throughout the project lifecycle.

The other options do not accurately capture the nature of a backlog used in change-driven methodologies. A static and prioritized product backlog implies rigidity, which contradicts the essence of being change-driven. A performance burn down list typically references a tool for tracking progress in agile projects rather than managing requirements. Similarly, a cost-benefit wish list would not serve the purpose of organizing and prioritizing requirements, but rather outline potential features without the necessary urgency and structure required in a product backlog.